For the purposes of this discussion, we will assume that the output for the Kao Residual Cointegration Test in EViews is as follows:
Kao Residual Cointegration Test
ADF Statistic: -3.456789
Probability: 0.0003
Residual variance: 0.001234
HAC variance: 0.001567
ADF Statistic: -3.456789
This is the test statistic. A more negative value indicates stronger evidence against the null hypothesis of no cointegration.
The probability value is 0.0003. The p-value associated with the ADF statistic is less than 0.05, indicating that the null hypothesis is rejected and that cointegration among the variables is confirmed.